To solve this equation, we first need to combine the terms on the left side by finding a common denominator for 9 and 3.
4/9y + 1/3y = 6 3/10(410)/(910)y + (13)/(33)y = 63/1040/90y + 3/9y = 63/10(40 + 30)/(90)y = 63/1070/90 y = 63/10
Next, simplify the left side by dividing both the numerator and denominator by the greatest common factor, which is 10.
7/9 y = 63/10
Now, isolate y by multiplying both sides by the reciprocal of 7/9, which is 9/7.
y = (63/10) * (9/7)y = 567/70y = 8 7/10
Therefore, the solution to the equation is y = 8 7/10.
To solve this equation, we first need to combine the terms on the left side by finding a common denominator for 9 and 3.
4/9y + 1/3y = 6 3/10
(410)/(910)y + (13)/(33)y = 63/10
40/90y + 3/9y = 63/10
(40 + 30)/(90)y = 63/10
70/90 y = 63/10
Next, simplify the left side by dividing both the numerator and denominator by the greatest common factor, which is 10.
7/9 y = 63/10
Now, isolate y by multiplying both sides by the reciprocal of 7/9, which is 9/7.
y = (63/10) * (9/7)
y = 567/70
y = 8 7/10
Therefore, the solution to the equation is y = 8 7/10.